Since it is a rectangular prism, the front and back are the same. the sides are the same and the top and bottom are the same. You would find the area of the front and back first. Since they both have the same measurements, you can find the area of one of the faces and multiply by 2.
A=BH
A= 3x5
A=15
15x2=30
So the front and back's area is 30. Now you find the area of both sides. They are both rectangle so the formula is A=BH.
A=BH
A=3x5
A=15
15x2=30
Now you find the area of the top and bottom. It is also a rectangle so you will use the same formula.
A=BH
A=3x3
A=9
9x2=18
Finally, you add all these measurements together adn that is the surface area.
This surface area of this rectangle prism is 78.
<h3>
Answer: A) intersecting</h3>
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Work Shown:
Solve the first equation for y
x+y = ab
y = -x+ab
y = -1x + ab
slope = -1, y intercept = ab
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Solve for y in the second equation
bx - y = a
bx - y - a = 0
bx-a = y
y = bx - a
Slope = b, y intercept = -a
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The first equation has a slope of -1. The second equation has a slope of b.
Since b cannot equal -1, this means the two equations have different slopes. It is impossible for these two lines to be parallel, because parallel lines have equal slopes. The different slope values tell us the lines cross at exactly one point.
Answer:

Step-by-step explanation:
The limit is:

so, you have an indeterminate result. By using the l'Hôpital's rule you have:

by replacing, and applying repeatedly you obtain:

hence, the limit of the function is -1/14
Answer:
B. 1×3
Step-by-step explanation:
Given the first matrix as [ 4 -1 0] this is 1×3 (row by column)
The second matrix is [2 1 0 ] which is a 3×3 matrix
[-3 -7 2 ]
[1 -5 2]
Hence the answer matrix will be;
[1×3 ] *[3×3]----------------------cancel the shaded numbers to remain with
[1×3]
Answer: B
Step-by-step explanation: